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20 works

Work: 2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE

  1. Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    Yu. Kh. Èshkabilov, F. H. Haydarov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry201226 citations
    ABI

  2. Four competing interactions for models with an uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics201715 citations
    ABI

  3. Positive fixed points of quadratic operators and Gibbs measures

    Yusup Khalbaevich Eshkabilov, Shohruh Dilmurodovich Nodirov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsPositivity201614 citations
    ABI

  4. Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree

    U. A. Rozikov, F. H. Haydarov

    ArticleMarkov Chains and Monte Carlo MethodsInfinite Dimensional Analysis Quantum Probability and Related Topics201512 citations
    ABI

  5. Phase transitions for a model with uncountable set of spin values on a Cayley tree

    Yu. Kh. Èshkabilov, U. A. Rozikov, G. I. Botirov

    ArticleTheoretical and Computational PhysicsLobachevskii Journal of Mathematics201310 citations
    ABI

  6. Phase Transition and Critical Values of a Nearest-Neighbor System with Uncountable Local State Space on Cayley Trees

    Benedikt Jahnel, Christof Külske, G. I. Botirov

    ArticleTheoretical and Computational PhysicsMathematical Physics Analysis and Geometry20149 citations
    ABI

  7. Fixed points of Lyapunov integral operators and Gibbs measures

    F. H. Haydarov

    ArticleTheoretical and Computational PhysicsPositivity20188 citations
    ABI

  8. GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS

    U. A. Rozikov

    Review articleStochastic processes and statistical mechanicsReviews in Mathematical Physics20135 citations
    ABI

  9. Модели с четырьмя конкурирующими взаимодействиями и с несчетным множеством значений спина на дереве Кэли

    U. A. Rozikov, Фарход Халимжонович Хайдаров

    ArticleNeural Networks and ApplicationsТеоретическая и математическая физика20174 citations
    ABI

  10. On positive solutions of the homogeneous Hammerstein integral equation

    Yu. Kh. Èshkabilov, F. H. Haydarov

    ArticleNumerical methods in inverse problemsNanosystems Physics Chemistry Mathematics20154 citations
    ABI

  11. A model with uncountable set of spin values on a Cayley tree: phase transitions

    G. I. Botirov

    ArticleTheoretical and Computational PhysicsPositivity20163 citations
    ABI

  12. Lyapunov operator L with degenerate kernel and Gibbs measures

    Yu. Kh. Èshkabilov, F. H. Haydarov

    ArticleMathematical Biology Tumor GrowthNanosystems Physics Chemistry Mathematics20173 citations
    ABI

  13. New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

    F. H. Haydarov

    ArticleMathematical Dynamics and FractalsMathematical Physics Analysis and Geometry20212 citations
    ABI

  14. Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree

    Yu. Kh. Èshkabilov, Sh.P. Bobonazarov, R.I. Teshaboev

    ArticleTheoretical and Computational PhysicsNanosystems Physics Chemistry Mathematics20161 citations
    ABI

  15. Functional equations for the Potts model with competing interactions on a Cayley tree

    G. I. Botirov

    ArticleTheoretical and Computational PhysicsNanosystems Physics Chemistry Mathematics20161 citations
    ABI

  16. On solutions to nonlinear integral equation of the Hammerstein type and its applications to Gibbs measures for continuous spin systems

    I. M. Mavlonov, A. Sattarov, Sevinj Karimova +1

    ArticleStatistical Mechanics and EntropyNanosystems Physics Chemistry Mathematics20241 citations
    ABI

  17. Existence and uniqueness of fixed points of an integral operator of Hammerstein type

    F. H. Haydarov

    ArticleFixed Point Theorems AnalysisTheoretical and Mathematical Physics20211 citations
    ABI

  18. Positive fixed points of Lyapunov operator

    Rasul Ganikhodjaev, R.R. Kucharov, K.A. Aralova

    ArticleFixed Point Theorems AnalysisNanosystems Physics Chemistry Mathematics20200 citations
    ABI

  19. Phase transitions for models with a continuum set of spin values on a Bethe lattice

    Yu. Kh. Èshkabilov, G. I. Botirov, F. Kh. Khaidarov

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20200 citations
    ABI

  20. Gibbs measures of models with uncountable set of spin values on lattice systems

    F. H. Haydarov

    ArticleTheoretical and Computational PhysicsBulletin of National University of Uzbekistan Mathematics and Natural Sciences20230 citations
    ABI